McGraw Hill Integrated I, 2012
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McGraw Hill Integrated I, 2012 View details
1. Graphing Equations in Slope-Intercept Form
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Exercise 1 Page 219

Substitute the slope and y-intercept into the slope-intercept form.

Slope-Intercept Form: y=2x+4
Graph:

Practice makes perfect
Lines written in slope-intercept form follow a certain format. y= mx+ b In this form, the coefficient m is the slope and the constant b is the y-intercept. We can write the equation of the desired line in the slope-intercept form by substituting the given information, m= 2 and b= 4, into the general form.

y= 2x+ 4 To find another point through which the graph passes, we will use the slope. If we rewrite the slope m= 2 as a fraction, it becomes 21. When a slope is written as a fraction, it tells us ratio between the change in the vertical direction and the change in the horizontal direction. This is commonly called rise over run. m=rise/run ⇒ m=2/1 Since we know that the equation intercepts the y-axis at (0, 4), we will travel 1 step to the right and 2 steps up from there. Finally, we draw a line that passes through the points.